All categories

3 years ago

The diagram shows two parallel lines and transversal. If the measure of <6 is 140, what is the measure of <1?

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

Angles 6 and 3 are supplementary. If angle 6 is 140, then angle 3 is 40. Because those lines are parallel and cut by a transversal, then angles 3 and 1 are corresponding and congruent. That means that angle 1 measures 40° also. Choice D.

VladimirAG [237]3 years ago

3 0

Answer:

(D)

Step-by-step explanation:

Given: It is given that ∠6 measures 140°.

To find: The measure of ∠1.

Solution:

It is given that ∠6 measures 140° and since there are two parallel lines which are cut by a transversal, then using the properties of parallel lines, we have

m∠6=m∠2(Alternate interior angles)

Therefore, m∠6=m∠2=140°

Also, m∠2 and m∠1 forms the linear pair, therefore

m∠1+m∠2=180°(Linear pair)

⇒m∠1+140°=180°

⇒m∠1=180-140

⇒m∠1=40°

Thus, the measure of ∠1 is 40°.

Hence, option D is correct.

You might be interested in

Two cargo ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship Bis sailing into harbor on a cours

s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

$cos(x) = \frac{adjacent}{hypotenuse}$

$cos(47) = \frac{22miles}{hypotenuse}$ .... flip both fractions.

$\frac{1}{cos(47)} = \frac{hypotenuse}{22miles}$ .... multiply both sides by 22

$\frac{22mi}{cos(47)} = hypotenuse$

$32.26mi = hypotenuse = B$

So the distance of ship B from the Harbor is 32.26 miles

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0

3 years ago

Simplify -3/5 ÷ 7/6 what is the answer

Nesterboy [21]

-3/5 divided by 7/6 is -18/35

4 0

3 years ago

Read 2 more answers

Write the expression below. find 3 more than, 7 plys 3

lesya692 [45]

3 more than 7 plus 3:

8 0

3 years ago

The functionf (x)is shown in the graph.

zimovet [89]

After finding the intercept form of the graph of the given straight line, it can be obtained that $f(x)=-\frac{4}{5}x-3$ .

<h3>How to find the equation of a straight line in intercept form from its graph?</h3>

If the graph of a straight line cuts the x-axis at the point $(a,0)$ and the y-axis at the point $(0,b)$ , then the equation of the straight line in intercept form will be $\frac{x}{a}+\frac{y}{b}=1$ .

Here, in the given figure, we can see that the graph of $y=f(x)$ is a straight line.

From the graph, we can see that the straight line cuts the x-axis at the point $(-3\frac{3}{4},0)=(-\frac{15}{4},0)$ and cuts the y-axis at the point $(0,-3)$ .